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3 years ago

14

Selena is driving to visit her grandmother who lives 325 miles away from Selena home. she travels an average of 60 miles per hou

r. Determine the independent and dependent quantities in each scenario. Be sure to include the appropriate units of measure for each quantity

1 answer:

GalinKa [24]3 years ago

4 0

Answer:

Step-by-step explanation:

independent quantity=60 m/h

dependent =time taken=t

60 t=325

t=325/60=65/12=5 5/12 hours

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Which of the following is equivalent to (5)^7/3

kifflom [539]

<em>The answer is $\sqrt[3]{ 5^{7} }$ </em>

The reason we get this answer is because when you are converting from exponential form, to radical form you always place the numerator as our constant's exponent in the radical <em>( $5^{7}$ is called the radicand because it is located in the radical)</em> and the denominator in front of the radical, where it would be called the index.

<em>Here's what a formula would look like:</em> $( \sqrt[n]{x} ) ^{q}=x^{ \frac{p}{q} }$

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Find S5 for a geometric series for which a1=81 and r=1/9.

Minchanka [31]

ANSWER

$S_5=91\frac{10}{81}$

EXPLANATION

The sum of the first $n$ terms of a geometric sequence is given by;

$S_n=\frac{a_1(1-r^n)}{1-r} ,-1$

Where $n$ , is the number of terms and $a_1$ is the first term.

When $n=5$ , we have $a_1=81$ , we get;

$S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}$

$S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}$

$S_5=\frac{81(\frac{59048}{59049})}{\frac{8}{9}}$

$S_5=\frac{7381}{81}$

$S_5=91\frac{10}{81}$

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3 years ago

What is the GCF of x^6 and x^5

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3 years ago

Solve the equation x^2-4x+85=0

lara [203]

Can't factor
use quadratic
for
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

given
1x^2-4x+85=0
a=1
b=-4
c=85

x= $\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(85)} }{2(1)}$
x= $\frac{4+/- \sqrt{16-340} }{2}$
x= $\frac{4+/- \sqrt{-324} }{2}$
x= $\frac{4+/- (\sqrt{-1})(\sqrt{324}) }{2}$
remember that √-1=i
x= $\frac{4+/- i(\sqrt{324}) }{2}$
x= $\frac{4+/- i(18) }{2}$
x=2+/-9i

x=2+9i or x=2-9i

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3 years ago

Will give brainliest! 20 Points!<br> Hi! Some help with these problems would be great thank you!

erica [24]

Answer:

<u>Question 1:</u>

Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.

<u>Question 2:</u>

A). y = 1.2x - 6

<u>Question 3:</u>

J). y = $\frac{9}{4}x - 81$

<u>Question 4:</u>

F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>

<u />

Step-by-step explanation:

<u>Question 2:</u>

The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8

For parallel lines, their values of slope is the same.

So our line, that passes through point (5, 0), also has a slope of 1.2

Taking another point (x, y) on our line;

Slope = change in y ÷ change in x

1.2 = $\frac{y - 0}{x - 5}$

y = 1.2x - 1.2(5)

y = 1.2x - 6

<u>Question 3:</u>

The line passes x-axis at point (36, 0)

The line is perpendicular to another line whose equation is y = - $\frac{4}{9}x$ + 5

For perpendicular lines, the product of their slopes = -1

Let's say the slope of our unknown line is a ;

Given: The slope of our second line is -4/9

So,

a × -4/9 = -1

a = -1 × -9/4 = 9/4

Taking another point (x, y) on our unknown line;

Slope = change in y ÷ change in x

9/4 = $\frac{y - 0}{x - 36}$

Cross-multiplying that you get;

y = $\frac{9}{4}x - 81$

<u>Question 4:</u>

The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6

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3 years ago

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